{"as_of":"2026-08-20T00:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c2f7518f2c493589a0aee31bd960b40d7c3d0eda851cd7f7035467adcae894bc","coverage":[{"denominator":88,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":88,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T01:54:20.869791Z","state":"measured"},{"denominator":91,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":91,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T01:53:13.778404Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.21508","snapshot_observed_at":"2026-08-01T17:31:49.963851Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.26364","last_updated":"2026-07-29T00:41:17Z","snapshot_observed_at":"2026-08-17T06:01:49.134836Z","submitted_at":"2026-07-29T00:41:17Z","title":"A counterexample to the claw-free Schur-positivity conjecture","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T17:31:49.963851Z"},"links":{"cited_paper":"/paper/2607.21508","citing_paper":"/paper/2607.26364"},"observation_digest":"sha256:a5f2e46a08f55051f4cfc103267de7d09a1f8b8e8e16b2e4e2ad9d79fdb53579","observation_id":"b81ff194-a4bf-42d5-a8c6-36276e55fa1e","resolution":{"observed_at":"2026-08-01T17:31:49.963851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.21508","snapshot_observed_at":"2026-07-30T10:29:59.343705Z","title":"Matherne and A.H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27166","last_updated":"2026-07-31T16:50:50Z","snapshot_observed_at":"2026-08-14T15:39:45.055695Z","submitted_at":"2026-07-29T17:41:57Z","title":"Two infinite families of counterexamples to the Stanley--Gasharov conjecture","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-30T10:29:59.343705Z"},"links":{"cited_paper":"/paper/2607.21508","citing_paper":"/paper/2607.27166"},"observation_digest":"sha256:1907d3622cc8e635b4dfcda191a4e6b8e0387663c86fda4e493f0da41082c04b","observation_id":"7f02d28c-a9e7-4a58-b037-c7644d2a1ae2","resolution":{"observed_at":"2026-07-30T10:29:59.343705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.21508","snapshot_observed_at":"2026-08-03T01:53:13.778404Z","title":"Matherne and A.H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27166","last_updated":"2026-07-31T16:50:50Z","snapshot_observed_at":"2026-08-14T15:39:45.055695Z","submitted_at":"2026-07-29T17:41:57Z","title":"Two infinite families of counterexamples to the Stanley--Gasharov conjecture","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T01:53:13.778404Z"},"links":{"cited_paper":"/paper/2607.21508","citing_paper":"/paper/2607.27166"},"observation_digest":"sha256:d7deb140e830853215260d8543eb132788e2e9aa2dd09cca40c98507bd046c4b","observation_id":"30714b8e-1249-42ca-8935-d9cbf07a3431","resolution":{"observed_at":"2026-08-03T01:53:13.778404Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.21508/citation-record","integrity":"/paper/2607.21508/integrity","json":"/paper/2607.21508/citation-record.json","paper":"/paper/2607.21508"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:14.506091Z","title":"Kodama , HOWPUBLISHED =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:14.506091Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b8a30f1a7992d51a0a356f80a18998e9205b1438c94d5e3242ea9ac603aec262","observation_id":"ecfa8abd-a3bb-4fd6-96a2-36c0b15e5053","resolution":{"observed_at":"2026-08-03T01:54:14.506091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:14.629813Z","title":"Prajapati , title =","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:14.629813Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:22055438bdd8a04c5bd6b7ee73b6ef33b4619f133ecd3f12d106e5a4ded66e2d","observation_id":"cd4ab333-6ae3-4f55-9802-9c5c9832d16f","resolution":{"observed_at":"2026-08-03T01:54:14.629813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:14.798349Z","title":"Discrete Math","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:14.798349Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:02d31cd0f1a910da05319b675b86a7ce9211482a4473b28b52abfa4c77d0b536","observation_id":"b30ba862-fb5b-423f-9298-fde4c3525bc5","resolution":{"observed_at":"2026-08-03T01:54:14.798349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12171","last_updated":"2022-12-23T06:56:05Z","snapshot_observed_at":"2026-08-16T16:06:26.443078Z","submitted_at":"2022-12-23T06:56:05Z","title":"Proof of a conjecture of Matherne, Morales, and Selover on encodings of unit interval orders","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.12171","snapshot_observed_at":"2026-08-03T01:54:14.942221Z","title":"Proof of a conjecture of","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:14.942221Z"},"links":{"cited_paper":"/paper/2212.12171","citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:3a00dc658b89804cf033f69eb391fb0bac2854402c4158948c2feed398bfab9b","observation_id":"a2af03b0-c801-4efd-8e8a-0d9d813420c8","resolution":{"observed_at":"2026-08-03T01:54:14.942221Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.028708Z","title":"Anari and K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.028708Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:fe15d903b954f24aec1d4376f77b86f5c71e41a59d0a5b751494ec8ef570497b","observation_id":"fc5e17ad-2a99-4f57-8b3a-f0cb79704edc","resolution":{"observed_at":"2026-08-03T01:54:15.028708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.093973Z","title":"Hikita , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.093973Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:74a0c2a608ef79be6308f56a06929dae8d9846bbc78f3f6feadbbac2785a8175","observation_id":"e927ce90-e104-4b26-8b54-1b1ba4193993","resolution":{"observed_at":"2026-08-03T01:54:15.093973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-03T01:54:15.149510Z","title":"arXiv e-prints , keywords =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.149510Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:c5d40c76d6f2ba5486e803bb376fdac335e67bb1921525ea3767cd2f90508443","observation_id":"ae5b32c4-9e3b-461e-bf2c-e38099f4286c","resolution":{"observed_at":"2026-08-03T01:54:15.149510Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.275297Z","title":null,"venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.275297Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:0e8412e70f6adfcd5ae7bdaeaca619adcfb84642d44d8f4d5fd1c20d8d42867e","observation_id":"35122e79-5216-4b2f-a35a-9a21a500a118","resolution":{"observed_at":"2026-08-03T01:54:15.275297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.392722Z","title":", TITLE =","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.392722Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:459bd0fd73432f0f842fb78681e299d4706f8fbf560988250e51e55a727aeead","observation_id":"92e0c69c-be5b-4e6f-b8cb-5e3acd1b6abc","resolution":{"observed_at":"2026-08-03T01:54:15.392722Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.498639Z","title":"Lorentzian polynomials , JOURNAL =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.498639Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:bf4d372783ae8ec94fa0e828454fe188d8fb0144bc575496c7a3a42d7fa888bc","observation_id":"35a6908f-1663-49be-8077-5aa28751f4fe","resolution":{"observed_at":"2026-08-03T01:54:15.498639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.611377Z","title":"and Huh, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.611377Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:3074eed5f52f8d785edce29f2deae4979e724bb323ef1815f86ea36e4f2a7da2","observation_id":"13a9e7d5-cc6f-407b-a259-b1ef24755e0f","resolution":{"observed_at":"2026-08-03T01:54:15.611377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.710120Z","title":"and Katz, E","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.710120Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:fb5a551708d4c2c6a4c3724aced5d80c302017bffcfaad79e5b6976a9163946b","observation_id":"24075c82-94c4-46e9-9e64-ae70c5738917","resolution":{"observed_at":"2026-08-03T01:54:15.710120Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.842992Z","title":", TITLE =","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.842992Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:041dc2e3d2680d1c6f49cd5a5ca6d7e3b5dead6300440e6aac5a9374a16d5416","observation_id":"e0c2b68d-e873-4191-b457-dbc6bd985c2b","resolution":{"observed_at":"2026-08-03T01:54:15.842992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:15.972867Z","title":"and Seymour, P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.972867Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:67b27d43304d69f4ca152207f1e59e99e3b60e61491dc0349da7b7c6a3631385","observation_id":"d2f605ca-019e-4019-898e-5b507112fec9","resolution":{"observed_at":"2026-08-03T01:54:15.972867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.109784Z","title":", TITLE =","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.109784Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:1c0691c3245790502a639ad92fe316a121993e22742dff2c89b53e986e7fedc0","observation_id":"492c14ea-27f0-4b89-bdaa-2367a53b6072","resolution":{"observed_at":"2026-08-03T01:54:16.109784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.250184Z","title":"and Matherne, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.250184Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:2ed59107f8e0c9b5554c19375bbcdb36d6856ca6a6e9e71092b0f27892b2e1c9","observation_id":"a4885ac1-062f-4dad-b731-1ef45894b9d0","resolution":{"observed_at":"2026-08-03T01:54:16.250184Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.400321Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.400321Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:3cf28e3ce0fe4887016cdbd4caf92219781449065010bf7d132323e6bd20a267","observation_id":"be35de29-0ce9-4b3c-abb3-bd67ba2c8e03","resolution":{"observed_at":"2026-08-03T01:54:16.400321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.493770Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.493770Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:0fe5b52ae1fe01ac1992e15df82d188a576f62e5439cf222f00a1aa92df85ff4","observation_id":"1a2afbd3-6cee-4527-ae8f-5416e56fa33e","resolution":{"observed_at":"2026-08-03T01:54:16.493770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.631142Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.631142Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:7cf48bf827a481e6ad233b55fc3c41e70cd4eea3616346ac809f6ec34d00307a","observation_id":"5c1bc9b1-f024-4088-96e3-9ee691d16f04","resolution":{"observed_at":"2026-08-03T01:54:16.631142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.719988Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.719988Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:5a68a3466e742484187005de911add7d2f4a970b10ff91221382e2435be11062","observation_id":"30c78624-d984-4986-81e3-c5de95798503","resolution":{"observed_at":"2026-08-03T01:54:16.719988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.883768Z","title":"and Robichaux, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.883768Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:5b128a0a1197b96ffedaa9878a4ea6c747121cee8fe8b5ff3be8b8f86b066e7d","observation_id":"6546eb2b-7218-499b-a16c-e57470883140","resolution":{"observed_at":"2026-08-03T01:54:16.883768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:16.991484Z","title":"and Robichaux, C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:16.991484Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:976b91ce8c03d800ee1f2f0bd0230022e5804dae55708feb7f4a4f7e7449326e","observation_id":"f862a60e-b274-498f-89ac-923f155d3824","resolution":{"observed_at":"2026-08-03T01:54:16.991484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.073980Z","title":"and Tokcan, N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.073980Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:ada7c412ff706398b4d726db70225d7d6cb0c69af728a5fc86a433f6ed2e4ff5","observation_id":"1f8f4c79-b1e9-4523-a108-046714408d84","resolution":{"observed_at":"2026-08-03T01:54:17.073980Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.124025Z","title":", year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.124025Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:2901c5976ae7624f57ea6369a0c36ba7be7dd52831b2abcc392525468ff7cac1","observation_id":"4f4072d4-3432-4434-b2cc-2374b2188d4f","resolution":{"observed_at":"2026-08-03T01:54:17.124025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.165751Z","title":", journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.165751Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:81ef000a625fb50153e443e7ba11d9f4eb45dfcebde6cfc545c5a4cf50e3cd5c","observation_id":"3c5be6ac-226e-4062-8b0c-76de4d8e15a8","resolution":{"observed_at":"2026-08-03T01:54:17.165751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.249304Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.249304Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:67e10bf41055d304ba9aa216335d89b2bba0b580818105b483531daca0f08255","observation_id":"1485929a-b343-4ab7-be0d-8483e992490e","resolution":{"observed_at":"2026-08-03T01:54:17.249304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.306865Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.306865Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:0b46ec313400b04384604d51edb5422d12b7f7dd9b428232111cb9a0b54fb835","observation_id":"af722208-c4dc-4a81-8713-2922a140052a","resolution":{"observed_at":"2026-08-03T01:54:17.306865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.341967Z","title":"Linear R elations Between q - C hromatic symmetric functions","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.341967Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:42505b79d739ceeaabfa8c62ce36a7a4d235a62b0c67476af8fd89d0bcc8e33d","observation_id":"2e6d5e12-e38f-4477-b1d8-c9f52e05a5cc","resolution":{"observed_at":"2026-08-03T01:54:17.341967Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.403568Z","title":", journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.403568Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:7b10eb740e6e0e2fc03ab0ae3ac3f208ee04ccd1844b0e581a4ff0d07be2a6c7","observation_id":"0a1d52bc-cd5e-40c4-9bf2-6fc80e350d3b","resolution":{"observed_at":"2026-08-03T01:54:17.403568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.470348Z","title":"and Cid-Ruiz, Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.470348Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:f1e89d63795472305ea3f0366864586679ebd4f21cd2bf78cef60bceaed8cdce","observation_id":"ff115348-90c1-4878-baff-d7f6485f1677","resolution":{"observed_at":"2026-08-03T01:54:17.470348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.2400","last_updated":"2013-06-11T01:46:18Z","snapshot_observed_at":"2026-08-15T00:14:31.412920Z","submitted_at":"2013-06-11T01:46:18Z","title":"A modular relation for the chromatic symmetric functions of (3+1)-free posets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.2400","snapshot_observed_at":"2026-08-03T01:54:17.548555Z","title":", title = \"","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.548555Z"},"links":{"cited_paper":"/paper/1306.2400","citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:fc94e6d3d74e23e97f2335193baf13e6c8161ee3603e93aa7f24fa45a0ba11b4","observation_id":"5ba6575c-0408-4de4-b3e0-55187203bef2","resolution":{"observed_at":"2026-08-03T01:54:17.548555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.603511Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.603511Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:36c61617d4cbeb73b1d2303685c5a070dbe50ec359bc1c6ba853d7718297ecc5","observation_id":"e5bad49d-6519-4626-9ca6-1afc021acbfc","resolution":{"observed_at":"2026-08-03T01:54:17.603511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.684115Z","title":"and Wachs, M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.684115Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b45ae6beb002181d6914a086b6f1694cb057a869aa875944bec5248c76474ec1","observation_id":"490ffaf9-2676-425e-be5d-8988e4e089e9","resolution":{"observed_at":"2026-08-03T01:54:17.684115Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.734883Z","title":"and Morales, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.734883Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:81e0b26c672a08c12c79927ba5457f74c09cd0a6cc7ed1f0f5a9e02054e58683","observation_id":"a1416e7b-de4a-4c74-a1f2-aeaf8fb33e0a","resolution":{"observed_at":"2026-08-03T01:54:17.734883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.790042Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.790042Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:18167ae59772cb0e5fa04d5af514eba317babc6e5643e2551a2563faf2a46916","observation_id":"1a2e952d-92e9-4b13-97b2-57c569eea28f","resolution":{"observed_at":"2026-08-03T01:54:17.790042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.826888Z","title":"and Goeckner, B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.826888Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:80d9c06c0cbbc1f4ffdfd40f43eac357127cb47538181d0b790b54dddc3d4b03","observation_id":"92af6899-713a-4ed8-b3ef-e65b7643692e","resolution":{"observed_at":"2026-08-03T01:54:17.826888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.870607Z","title":"Advances in Mathematics , volume=","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.870607Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:2bda2fe5eaa6fd960fc9da93c34b5c320ec59442d78cb8a61e360be49ae054b8","observation_id":"8c389f76-07fb-4ac7-a0d0-74f0e24240b8","resolution":{"observed_at":"2026-08-03T01:54:17.870607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:17.915706Z","title":"International Mathematics Research Notices , volume=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:17.915706Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:1aa8891fdc6e04a2a16b1f955f370739720646e14d1b2095cc44beea9d7df979","observation_id":"defe41a2-7a57-4482-ad5d-f59d680a06b5","resolution":{"observed_at":"2026-08-03T01:54:17.915706Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.011631Z","title":", TITLE =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.011631Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:a0876906c17cdb517ccf64162c6ba468f3435c9216a51469c1a1c993882c97e6","observation_id":"cc5176cc-51a1-4952-a516-6c61681fd899","resolution":{"observed_at":"2026-08-03T01:54:18.011631Z","resolver_source":null,"status":"parse_uncertain"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.083700Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.083700Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:2b7aaa920606f945a38c3a65f1a52a81f8b672d497e0b28f915a5927063aed69","observation_id":"915f2fb6-4539-47e9-8eae-b46787016bf6","resolution":{"observed_at":"2026-08-03T01:54:18.083700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.146725Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.146725Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:9f66865657df61d00bf8695e8875a0c1eafa693f264f7f068a1f6c552facc659","observation_id":"b9177c84-ca27-48fe-b21c-e2c071f63576","resolution":{"observed_at":"2026-08-03T01:54:18.146725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.198403Z","title":"and Riordan, J","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.198403Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:1ad144f906ce1870e5764d28102e0d88058a4a5c7b682b929ccd455ac8e71d85","observation_id":"b6372103-f10c-48a8-96c6-4f0a2b88a81f","resolution":{"observed_at":"2026-08-03T01:54:18.198403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.258487Z","title":"and Robins, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.258487Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:f5083576ba0f45499cc48a8f67d40ba7bf5aec0437f25d989c4e2b6b47d2d768","observation_id":"f83fbdbc-2312-4f53-b13a-f67180c9a0d1","resolution":{"observed_at":"2026-08-03T01:54:18.258487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.322627Z","title":"and Br\\\"","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.322627Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:651757c61d33b559c6ccb26e80b727eb9edc6222cc4da15060c6a76f6ad1218b","observation_id":"062a8b1d-fdab-45df-97a6-d4b5aa72f219","resolution":{"observed_at":"2026-08-03T01:54:18.322627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.383322Z","title":"and Br\\\"","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.383322Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:508ae40b49b0092a62827784ada10de13374dd512abc4f01ac189670f7737929","observation_id":"dd0c3a5e-39ce-4a85-bb89-469e39e350c7","resolution":{"observed_at":"2026-08-03T01:54:18.383322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.457760Z","title":"and Seymour, P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.457760Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:4045693a6d06ffece458be6aa6f946f08b6501578e3f52ab58b6b2fe74c6a2c2","observation_id":"61499363-8995-4944-9536-88b3a50f1d97","resolution":{"observed_at":"2026-08-03T01:54:18.457760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.560229Z","title":"and Bergeron, N","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.560229Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b1085fe07acca24119b5998cd5fd24fdf95a5b59bfca64a9bda4203255ef387f","observation_id":"06e17ebc-0081-4eee-b4e5-a5badffed0ec","resolution":{"observed_at":"2026-08-03T01:54:18.560229Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.613974Z","title":"and Sazdanovic, R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.613974Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:67934b5320b8ec97ce1960e00c5d3f66ffdd6ab7f3732fb576b081ee49cd8dce","observation_id":"6bffa551-2cff-4a05-9405-01daa0142091","resolution":{"observed_at":"2026-08-03T01:54:18.613974Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.665139Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.665139Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:511692dac54bd16ea959a17f441310afb3f72640b5bca9fa848b3328bdab7668","observation_id":"3752871a-025a-4569-b809-881d7db0ec27","resolution":{"observed_at":"2026-08-03T01:54:18.665139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.717637Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.717637Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:ce678823baad8df0ddf81afeb870d2f70aa0530c165cdd3fcd8d928819c25eed","observation_id":"e11fa890-50bb-44fc-851c-c0be9f777833","resolution":{"observed_at":"2026-08-03T01:54:18.717637Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.795431Z","title":"and Chow, T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.795431Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:266808fb9811b21a713274cab89ca2bd5eebaa6fa034dd461c3e85baf7749f2a","observation_id":"246b86af-bde4-4be8-a675-e5a75bacba43","resolution":{"observed_at":"2026-08-03T01:54:18.795431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.861807Z","title":"and Precup, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.861807Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:d65882a7a0fc1452306394b8cbbbc4a159b69eb714a7947c2959d01d016a68a1","observation_id":"9e77a901-2e07-45de-b592-d051a1ddcc5a","resolution":{"observed_at":"2026-08-03T01:54:18.861807Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.903091Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.903091Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:778719c4de56b59e95002a55e79a40843df31f29efcee0ff5d780aebc497f599","observation_id":"506341b7-8cdd-4a99-81c4-30fadfc3b007","resolution":{"observed_at":"2026-08-03T01:54:18.903091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:18.945192Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:18.945192Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:45bd3c0fa95bfa46d8e64d4031c4e6ece904a52c6cc4ef0ded6f784f47263ca5","observation_id":"72da7ad0-5807-4aaa-ac3d-fce1bd594304","resolution":{"observed_at":"2026-08-03T01:54:18.945192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.021527Z","title":"Duke Mathematical Journal , volume=","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.021527Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:f476a5968fd272436912d351fb8690d06ceff9bab9b7a1969c9024ba4ca7de16","observation_id":"9f150c5a-1083-4626-ab7f-649a613d5af2","resolution":{"observed_at":"2026-08-03T01:54:19.021527Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.066765Z","title":"Upper bounds on","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.066765Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:facb85677f0acc75167ddfa8c5843466fb3040b160e0e9167dd0ea5711452e82","observation_id":"6a024e1b-c178-44f1-b84a-3a3d1bc0f4f2","resolution":{"observed_at":"2026-08-03T01:54:19.066765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.142567Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.142567Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:3f797727d67933cdd54d1e83b1192b6fd1f685a89ae49165fb74345ba664eed3","observation_id":"512eaad6-43ce-4aba-87c3-2672602d3d29","resolution":{"observed_at":"2026-08-03T01:54:19.142567Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.225444Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.225444Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:4d1f12287506c36bbf57ef8c823e1f3502d73577d78f34fb8fc0e8248c129389","observation_id":"f341c927-a755-4ae3-9254-c3fb8eea6bbf","resolution":{"observed_at":"2026-08-03T01:54:19.225444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.270402Z","title":", TITLE =","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.270402Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:3943a0a1a3d5b703c556f3c7894659de5ba83f33ac98714b4434474465fc6945","observation_id":"dfe83f9d-7c02-4a7e-a6b9-5a669d42a621","resolution":{"observed_at":"2026-08-03T01:54:19.270402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.327178Z","title":"Indagationes Mathematicae , year =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.327178Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:f2b765a4e11e644330137dfed3e23b8a286c9eed7fa5f00beea97e2f8d2b9630","observation_id":"2adcd00b-8573-4c38-a628-ebc0c15fd104","resolution":{"observed_at":"2026-08-03T01:54:19.327178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/pamq.241203042708","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Sommers, E","venue":"Pure and Applied Mathematics Quarterly","work_id":"e9ad5b46-d7ad-4826-b824-ae2302057ae1","year":2025},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.372368Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:0955c93216d6b9740abc31bfb9dcab0c63c607758bd81aa267a312bd39d9e92f","observation_id":"460b1184-87c7-4efb-a387-aecf7ebfc1ca","resolution":{"observed_at":"2026-08-03T01:59:10.872221Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.419039Z","title":"and Mellit, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.419039Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:6fca6ef96e10313bf45657ee516907f085368377405eeb954380fb01a2a5c1d4","observation_id":"18e5b00d-aa39-4cfa-a214-97819485cc14","resolution":{"observed_at":"2026-08-03T01:54:19.419039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.485016Z","title":"and Nigro, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.485016Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:ed803173cc5842057d5f4f2915fe7251e6ae2779a7d5ff1705681da9ef85978f","observation_id":"eed334eb-88ca-429a-95f7-68871206577b","resolution":{"observed_at":"2026-08-03T01:54:19.485016Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.558675Z","title":"Rubey and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.558675Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:9702a75485b272749668ff8b3232b67bbe172582118f09f38319ec90fe7ee984","observation_id":"125b2198-6f40-4fe9-8732-00d7dc5c6c17","resolution":{"observed_at":"2026-08-03T01:54:19.558675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.630908Z","title":"and Sulzgruber, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.630908Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:6784d3d4474ad377c2efc1bdf19283cb3fa26e11da3b77d5bc5f48c6aa6ad6da","observation_id":"58e724ac-dbf4-48c2-b717-652eb7c31c34","resolution":{"observed_at":"2026-08-03T01:54:19.630908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.705951Z","title":"and Panova, G","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.705951Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:612dd018f631887cff6658445b008ef8db049e3ab8241cf2fa0d7807bbd088a0","observation_id":"0d397c7a-98f5-4849-a392-c19b3c5806db","resolution":{"observed_at":"2026-08-03T01:54:19.705951Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.767223Z","title":", TITLE =","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.767223Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:8c493eaf2cb0d0265526c1b5289dd1819ce57e4612f57c854fade1fa3e10d7be","observation_id":"cb91e7bf-8efb-413e-8c45-96b29d69c79a","resolution":{"observed_at":"2026-08-03T01:54:19.767223Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.821284Z","title":", TITLE =","venue":null,"work_id":null,"year":1932},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.821284Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b018274a97a58bf0e8beefe6c8838cbf2661ceb3d56c6e149db05d52aeb1074a","observation_id":"cfccac0c-2642-4f68-b0f8-4ea51065fd73","resolution":{"observed_at":"2026-08-03T01:54:19.821284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.861850Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.861850Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:7ca6e650a83f0fabe1c23abcc5deac298fe1589d1c0dbc407ae28eb1f25131ed","observation_id":"34b0447f-4150-4cd5-a62a-2baf740ddb45","resolution":{"observed_at":"2026-08-03T01:54:19.861850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.907971Z","title":"and Wilson, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.907971Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:46b37938d56f0f7396a1982479391f8be7ccd84b3566538965d8a34adc9f6d46","observation_id":"7df76911-1a0b-4bb5-9a8b-e126ae2b935c","resolution":{"observed_at":"2026-08-03T01:54:19.907971Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:19.972403Z","title":", title =","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:19.972403Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b93da5cc8e72a5de91b64f6e469f86a90110f599af430488732d0024e7ab4875","observation_id":"e05c57ea-3353-481a-adb2-7d67caaa235b","resolution":{"observed_at":"2026-08-03T01:54:19.972403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.025044Z","title":"and Setiabrata, L","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.025044Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b60d33296cb3b09a4a2c1de4137114a76382147e10106a1c7b40535289f0b3aa","observation_id":"7645de6b-fa99-465e-a256-8a814f5d2ac3","resolution":{"observed_at":"2026-08-03T01:54:20.025044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.082995Z","title":"and Ono, K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.082995Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:53a1b9c8df493d6319f1e27fcd582bdba92d19dc6be3aa919f972f81bbfd6cc6","observation_id":"2422b589-30e2-47e6-8478-d70789dfa886","resolution":{"observed_at":"2026-08-03T01:54:20.082995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.145252Z","title":", TITLE =","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.145252Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:24e039f6ad214dba77140d023dd98a0091e81e9809ed80355624150dde3e56e9","observation_id":"34cc6e98-3535-41bf-adc6-e540a5629aa3","resolution":{"observed_at":"2026-08-03T01:54:20.145252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.190424Z","title":"and Morales, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.190424Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:0102ae2e04ce01e0e775c6ea7a5d8bbc2776579080db723905d0a8f4bb6a6c6c","observation_id":"2bb2b40b-8a53-47d1-aa65-6fc7f0bdda82","resolution":{"observed_at":"2026-08-03T01:54:20.190424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.250048Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.250048Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:a179ea8df3630b6eb4d26ea5aa07f1d401546c06a62f1c026ba8a81aa21d2033","observation_id":"b976ae21-a9d4-4fa4-9a44-fc9f4d1eb4d1","resolution":{"observed_at":"2026-08-03T01:54:20.250048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.255133Z","title":"and Scott, G","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.255133Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:bf9250ad43b855b8d6b4ff4fb7965eca77b61239b065113e04de3e72dbeef2d2","observation_id":"90828a6d-3d93-407d-ac10-f5551e28e547","resolution":{"observed_at":"2026-08-03T01:54:20.255133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.305280Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.305280Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:9da0cf9b89167d4c551fd859cd056f9d479a1467739f833151c64fd47054dd15","observation_id":"2f6280c0-b966-48a6-9073-4c7a4dbacb28","resolution":{"observed_at":"2026-08-03T01:54:20.305280Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.357614Z","title":"and Foley, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.357614Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:11dc588185dc8276e9b25c697e5d58b774b83ae3fc69175d39db180f8267321e","observation_id":"1f8a8448-61e5-49ee-9ef3-bc0ea9bce28e","resolution":{"observed_at":"2026-08-03T01:54:20.357614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.404021Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.404021Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:208538a56c8b53fdab49fb7dfc5463f24be956876a5603279cf1ca57f5ff9ed8","observation_id":"17210218-e7d5-482d-af06-261d191e73d1","resolution":{"observed_at":"2026-08-03T01:54:20.404021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.457203Z","title":", TITLE =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.457203Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:cf9d3d9fc047bc765e40af651200771695b8e47f0316531b01bee96ed4059cb6","observation_id":"a877f1db-77bf-4cd7-9ca3-d922c524c58e","resolution":{"observed_at":"2026-08-03T01:54:20.457203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.521843Z","title":"1995 , PAGES =","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.521843Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:f866608dde5317de45fff5f7e4b0251d3d75c0ec2d1886bab8c17aa425b54b03","observation_id":"9087ce32-6b64-4cc5-82b6-d5955c1c9136","resolution":{"observed_at":"2026-08-03T01:54:20.521843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.564059Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.564059Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:e5a37918a888988fe51ec3df064ba9855bed704bdc7f0174d9a8b647164fcd1b","observation_id":"89aa9595-b802-4048-8403-be94223decee","resolution":{"observed_at":"2026-08-03T01:54:20.564059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.616871Z","title":", title =","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.616871Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:b5962be88b46dee45bf06f0ac297b96ebcf8b62947b5cef60b0df3bac7f8a543","observation_id":"71030762-b0cb-47cd-af8c-f0db0c94aab9","resolution":{"observed_at":"2026-08-03T01:54:20.616871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.676329Z","title":"and Hyatt, M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.676329Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:fb92aedecbf64e472195aa9742c7fd6cf0b1cde587376229b4a82d367d103781","observation_id":"8115c7d8-50e8-4353-be9b-ea7bad471021","resolution":{"observed_at":"2026-08-03T01:54:20.676329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.723947Z","title":", title =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.723947Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:73d2d9d922ef52e06f3f34095d6462396900bd6146264f8d2ac4c2019b3149d3","observation_id":"7292be65-f01f-430a-943e-b46801578da9","resolution":{"observed_at":"2026-08-03T01:54:20.723947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.815268Z","title":"arXiv e-prints , keywords =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.815268Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:096c0340ce1875c0ee08e73c631992cc367df582fed78b01f034baa1c3ed834e","observation_id":"caacaa37-2d99-4209-b9e7-823054dc9520","resolution":{"observed_at":"2026-08-03T01:54:20.815268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T01:54:20.869791Z","title":"arXiv e-prints , keywords =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:20.869791Z"},"links":{"citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:39667e0634c6abd3ed951694b359e59022b04456bd345c85a0680accfa11fdf0","observation_id":"91be661e-f5f8-4846-84bd-f40cc72b6fca","resolution":{"observed_at":"2026-08-03T01:54:20.869791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive"},"reference_resolution":{"displayed":88,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":85,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":88},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 88 of 88 outbound references and 3 inbound Pith citation observations for arXiv:2607.21508."}